Pith Number

pith:QVX272IA

pith:2015:QVX272IAO2XXD2TY3DX7OKVTG2

not attested not anchored not stored refs pending

Long-time asymptotics for the focusing nonlinear Schr\"odinger equation with nonzero boundary conditions at infinity and asymptotic stage of modulational instability

Dionyssios Mantzavinos, Gino Biondini

arxiv:1512.06095 v1 · 2015-12-18 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVX272IAO2XXD2TY3DX7OKVTG2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:24:05.351753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856fafe90076af71ea78d8eff72ab336a106b3d38a05b5626a179fb869bfabc0

Aliases

arxiv: 1512.06095 · arxiv_version: 1512.06095v1 · doi: 10.48550/arxiv.1512.06095 · pith_short_12: QVX272IAO2XX · pith_short_16: QVX272IAO2XXD2TY · pith_short_8: QVX272IA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QVX272IAO2XXD2TY3DX7OKVTG2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 856fafe90076af71ea78d8eff72ab336a106b3d38a05b5626a179fb869bfabc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4fe33fec73d4bd86d3a9b3ffbe847353e0c697e5b4eb7f5cc5ae7fa06c6c20d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-18T20:17:51Z",
    "title_canon_sha256": "b8628160d3b9a10c22f5f97f5ac8d863d31d9ad135b3d272a5bf08b656573c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06095",
    "kind": "arxiv",
    "version": 1
  }
}